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Finding the Fourth Proportional to 4,133, 5,703.54 and 2,270

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Solution

The fourth proportional to 4,133, 5,703.54 and 2,270 is: 3,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133 : 5,703.54 = 2,270 : x
  2. Step 2: Convert to fraction form
    4,133/5,703.54 = 2,270/x
  3. Step 3: Cross multiply
    4,133x = 5,703.54 × 2,270
  4. Step 4: Simplify right side
    4,133x = 12,947,035.80
  5. Step 5: Solve for x
    x = 12,947,035.80/4,133
  6. Step 6: Final answer
    x = 3,132.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.